Abstract
In this paper, an inertial two-neuron system with multiple delays is analyzed to illustrate the influence of coupling delays on multiple equilibria. The multiple equilibria are obtained by employing the pitchfork bifurcation of trivial equilibrium. The neural system exhibits the stability coexistence of resting states. Some numerical simulations are employed to show the richness coexistence of the different activity patterns. The neural system has the coexistence of two resting states and one periodic-1 activity, two resting states and one period-3 activity, and two resting states and two periodic-1 activities by the period-adding route and fold bifurcation of periodic solution.
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Acknowledgments
This research is supported by the National Natural Science Foundation of China under Grant No. 11302126, 11472160.
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Song, Z., Zhen, B. (2016). Multiple Coexistences in the Delayed Inertial Neural System. In: Wang, R., Pan, X. (eds) Advances in Cognitive Neurodynamics (V). Advances in Cognitive Neurodynamics. Springer, Singapore. https://doi.org/10.1007/978-981-10-0207-6_112
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DOI: https://doi.org/10.1007/978-981-10-0207-6_112
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